I have worked in two States(CA and TN) this year. I earned 50k in TN and remaining 50k in CA state. How the State Tax will be calculated for me(TN does not have State Tax) in CA (income 50k and duration 6 months)

You will file as a part-year resident tax return with CA (Form 540-NR including Schedule CA), reporting your income earned while a resident of CA. Actually they make you report all income for the year, but only the portion earned while a resident is actually subject to tax.

But it is taxed at a MUCH higher tax rate by California due to the overall income level.